Jonathan Christopher Mattingly
- James B. Duke Distinguished Professor
- Professor of Mathematics
Research Areas and Keywords
Stochastic Analysis, Malliavin Calculus, Ergodic Theory
Stochastic and Random PDEs, Stochastic Dynamical Systems, Mathematical Ecology and Evolution, Metabolic and Cellular modeling, Out of equilibrium statistical mechanics
Markov Chain Mixing, Stochastic Numerical Methods, High Dimensional Random Algorithms
PDE & Dynamical Systems
Stochastic and Random PDEs, Stochastic Dynamical Systems, Malliavin Calculus, Fluid Mechanics, Approximating invariant measures
Stochastic and Random PDEs, Stochastic Dynamical Systems, Fluid Mechanics
Stochastic and Random PDEs, Stochastic Dynamical Systems, Stochastic Analysis, Malliavin Calculus, Markov Chain Mixing, Ergodic Theory, High Dimensional Random Algorithms, Probability on stratified spaces, Out of equilibrium statistical mechanics, Approximating invariant measures
Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave elementary and Charlotte Country Day. He graduated from the NC School of Science and Mathematics and received a BS is Applied Mathematics with a concentration in physics from Yale University. After two years abroad with a year spent at ENS Lyon studying nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to attend Princeton University where he obtained a PhD in Applied and Computational Mathematics in 1998. After 4 years as a Szego assistant professor at Stanford University and a year as a member of the IAS in Princeton, he moved to Duke in 2003. He is currently a Professor of Mathematics and of Statistical Science.
His expertise is in the longtime behavior of stochastic system including randomly forced fluid dynamics, turbulence, stochastic algorithms used in molecular dynamics and Bayesian sampling, and stochasticity in biochemical networks.
He is the recipient of a Sloan Fellowship and a PECASE CAREER award. He is also a fellow of the IMS and the AMS.
Hairer, M., and J. Mattingly. The strong Feller property for singular stochastic PDEs. 2016. Open Access Copy
Herzog, D. P., and J. C. Mattingly. “Noise-induced stabilization of planar flows ii.” Electronic Journal of Probability, vol. 20, Oct. 2015. Scopus, doi:10.1214/EJP.v20-4048. Full Text Open Access Copy
Bakhtin, Y., et al. “Regularity of invariant densities for 1D systems with random switching.” Nonlinearity, vol. 28, no. 11, Sept. 2015, pp. 3755–87. Scopus, doi:10.1088/0951-7715/28/11/3755. Full Text Open Access Copy
Herzog, D. P., and J. C. Mattingly. “A practical criterion for positivity of transition densities.” Nonlinearity, vol. 28, no. 8, July 2015, pp. 2823–45. Scopus, doi:10.1088/0951-7715/28/8/2823. Full Text Open Access Copy
Lawley, S. D., et al. “Stochastic switching in infinite dimensions with applications to random parabolic PDE.” Siam Journal on Mathematical Analysis, vol. 47, no. 4, Jan. 2015, pp. 3035–63. Scopus, doi:10.1137/140976716. Full Text Open Access Copy
Huckemann, S., et al. “Sticky central limit theorems at isolated hyperbolic planar singularities.” Electronic Journal of Probability, vol. 20, Jan. 2015. Scopus, doi:10.1214/EJP.v20-3887. Full Text Open Access Copy
Munch, E., et al. “Probabilistic Fréchet means for time varying persistence diagrams.” Electronic Journal of Statistics, vol. 9, Jan. 2015, pp. 1173–204. Scopus, doi:10.1214/15-EJS1030. Full Text Open Access Copy
Luo, S., and J. C. Mattingly. Scaling limits of a model for selection at two scales. 2015. Open Access Copy
Team gerrymandering, led by Professor Jonathan Mattingly, feature their latest works in a new webpage: https://www.math.duke.edu/projects/gerrymandering/.... read more »
Bracket math isn’t an exact science, but for years mathematicians have told us that the odds of picking a perfect NCAA tournament bracket are a staggering 1 in 9,223,372,036,854,775,808 (that’s 9.2 quintillion). According to Duke math... read more »